A comprehensive view of discrete mathematics: Chapter 14 of the New Jersey Mathematics Curriculum Framework

Author(s):  
Joseph Rosenstein
1988 ◽  
Vol 81 (7) ◽  
pp. 540-544
Author(s):  
Alton T. Olson

Much talk is heard these days about the importance of including topics from discrete mathematics in our secondary mathematics curriculum. They are characterized by their treatment of discrete quantities rather than continuous quantities and limit processes. The mathematics of continuity and limit processes leading into calculus will continue to be a major part of our mathematics curriculum. At the same time topics from discrete mathematics will take on more importance because of the presence of inexpensive computing power that is fundamentally finite and discrete.


1993 ◽  
Vol 86 (8) ◽  
pp. 657-661
Author(s):  
Peter L. Glidden ◽  
Erin K. Fry

The reforms proposed in the NCTM's Curriculum and Evaluation Standards (1989) call for specific changes in the grades 9-12 mathematics curriculum, as well as for general themes that should be emphasized throughout the curriculum. In particular, the standards document calls for including topics from discrete mathematics and three-dimensional geometry, and it calls for increased emphasis on paragraph-style proofs. Overall, these and other topics should be taught with the ultimate goals of illustrating mathematical connections and constructing mathematical models to solve real-world problems.


1999 ◽  
Vol 5 (3) ◽  
pp. 156-161
Author(s):  
Denisse R. Thompson ◽  
Richard A. Austin

Explorations of concepts of chance should be a part of the middle school curriculum, as indicated in the mathematics curriculum frameworks developed by several states (Florida 1996; South Carolina 1993; New Jersey 1996). The challenge for teachers is to find contexts that interest middle school students and motivate them to explore these ideas.


2017 ◽  
Vol 10 (5) ◽  
pp. 72
Author(s):  
Asrin Lubis ◽  
Andrea Arifsyah Nasution

Mathematical reasoning in logical context has now received much attention in the mathematics curriculum documents of many countries, including Indonesia. In Indonesia, students start formally learning about logic when they pursue to senior-high school. Before, they previously have many experiences to deal with logic, but the earlier assignments do not label them as logic. Although the students have already experienced much about logic, it does not assure that they have a better understand about it even they purpose to university. Thus, this paper presents several findings of our small-scale study which was conducted to investigate the issues on how higher-education students overcome contextual logic-based problems. Data were collected through pretest, students’ written work, video recording and interview. A fifteen-minute test which consisted of four questions was given to 53 student participants in the third semester who proposed mathematics discrete course. The information towards the main issues was required through the analysis of students’ written work in the pretest and video recording during the students’ interview. The findings indicate that the students’ initial understanding, in general, do not help them much to solve logical problems based on context. In our findings, they apply several strategies, such as random proportions, word descriptions, permutation-combination calculations and deriving conclusion through logical premises.


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